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On a class test there are 5 questions

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by guerrero » Sun Jun 23, 2013 6:06 pm
On a class test there are 5 questions. One question has been taken from each of four chapters. The first two chapters have 3 questions each, the last two chapters have 6 questions each. The fourth question can be picked from any of the four chapters. How many different question papers could have been prepared?

A. 540
B. 1260
C. 1080
D. 400
E. 4860

Source : Kaplan
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by srcc25anu » Sun Jun 23, 2013 7:07 pm
# ways to pick 1 Q from Ch 1 and Ch 2 each = 3C1 = 3
# ways to pick 1 Q from Ch 3 and Ch 4 each = 6C1 = 6
%th question can be picked out of any of the remaining 14 questions (Total there were 18 qs (3+3+6+6) out of which 4 Qs have been selected so left Qs = 14)
Total # of ways to make the 5 Q paper = 3*3*6*6*14 = 4536

That's none of the answer choices. Can you check the question. I think it should be 4536
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by vipulgoyal » Tue Jun 25, 2013 4:28 am
My take
3c2x3c1x6c1x6c1 + 3c1x3c2x6c1x6c1 + 3c1x3c1x6c2x6c1 + 3c1x3c1x6c1x6c2 = 2268
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by vivekchandrams » Tue Jun 25, 2013 12:04 pm
I totally agree to what srcc25anu has posted. Please re-check and please post the OE too
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